Question

why is the anova table different in linear regression(1) vs the one used in Design of experiments(2) ? e.g. the column where degrees of freedom go, the degrees a freedom are accounted for in a different manner and wouldn't be the same in (1) vs (2).

Answer #1

efer to the ANOVA table for this regression. Source d.f. SS MS
Regression 3 1,196,410 398,803 Error 26 379,332 14,590 Total 29
1,575,742 Picture Click here for the Excel Data File (a) State the
degrees of freedom for the F test for overall significance. The
degrees of freedom for regression are and for error . (b) Use
Appendix F to look up the critical value of F for ? = .05. (Round
your answer to 2 decimal places.) F.05 (c-1)...

Refer to the ANOVA table for this regression.
Source
d.f.
SS
MS
Regression
3
1,154,649
384,883
Error
18
349,308
19,406
Total
21
1,503,957
(a) State the degrees of freedom for the
F test for overall significance.
The degrees of freedom for regression are _____ and for error
_____.
(b) Use Appendix F to look up the critical value
of F for α = .05. (Round your answer to 2
decimal places.)
F.05 ________
(c-1) Calculate the F statistic.
(Round your...

The data file Demographics was used in a simple linear
regression model where Unemployment Rate is the response variable
and Cost of Living is the explanatory variable. You may refer to
the previous two questions for the regression model if you wish.
The anova function in R was used to obtain the breakdown of the
sums of squares for the regression model. This is shown below: >
anova(myreg)Analysis of Variance Table Response: Unemployment Df
Sum Sq Mean Sq F value...

Part B
In a completely randomized design, 7 experimental units were
used for each of
the three levels of the factor. (2
points each; 6 points total)
Source of
Variation
Sum of
Squares
Degrees of
Freedom
Mean
Square
F
Treatment
Error
432076.5
Total
675643.3
Complete the ANOVA table.
Find the critical value at the 0.05 level of significance from
the F table for testing whether the population means for the three
levels of the factors are different.
Use the critical...

Consider the ANOVA table that follows. Analysis of Variance
Source DF SS MS F Regression 5 3,931.60 786.32 14.34 Residual Error
50 2,742.06 54.84 Total 55 6,673.66
a-1. Determine the standard error of estimate. (Round your
answer to 2 decimal places.)
a-2. About 95% of the residuals will be between what two values?
(Round your answers to 2 decimal places.)
b-1. Determine the coefficient of multiple determination. (Round
your answer to 3 decimal places.)
b-2. Interpret the coefficient of multiple...

Consider the ANOVA table that follows.
Analysis of Variance
Source
DF
SS
MS
F
Regression
3
3,662.36
1,220.79
27.55
Residual Error
54
2,392.82
44.31
Total
57
6,055.18
a-1. Determine the standard error of estimate.
(Round your answer to 2 decimal places.)
a-2. About 95% of the residuals will be between
what two values? (Round your answers to 2 decimal
places.)
b-1. Determine the coefficient of multiple
determination. (Round your answer to 3 decimal
places.)
b-2. Determine the percentage variation for...

1. Using the two-way mixed ANOVA, different participants are
observed at each level of the between-subjects factor, and the same
participants are observed across the levels of the within-subjects
factor. TRUE OR FALSE
2. A researcher computes two 2 × 2 between-subjects ANOVAs. In
Study 1, he observes 8 participants in each cell; in Study 2, he
observes 12 participants in each cell. Which study is associated
with a larger value for degrees of freedom for the A × B...

Consider the ANOVA table that follows. Analysis of Variance
Source DF SS MS F Regression 5 4,001.11 800.22 14.72 Residual Error
48 2,610.04 54.38 Total 53 6,611.16 a-1. Determine the standard
error of estimate. (Round your answer to 2 decimal places.) a-2.
About 95% of the residuals will be between what two values? (Round
your answers to 2 decimal places.) b-1. Determine the coefficient
of multiple determination. (Round your answer to 3 decimal places.)
b-2. Determine the percentage variation for...

Please answer Question 17-20 based on
the following ANOVA table of Linear Regression (α=0.05):
Source
SS
DF
MS
F
P
A
a
1
9.999
0.504
0.498
B
180.378
b
60.1
3.029
0.093
Interaction
8.479
3
0.142
0.932
Error
158.797
8
17. How many factor levels of factor B are evaluated?
A. 1
B. 2
C. 3
D. 4
E. 16
18. What is the sample size?
A. 1
B. 2
C. 3
D. 4
E. 16
19. what is the...

1.You obtained a significant F ratio when comparing
three treatments in a one-way ANOVA. In words, how would you
interpret the alternative hypothesis?
A.All three treatments have different effects on the mean
response.
B.Exactly two of the three treatments have the same effect on
the mean response.
c.At least two treatments are different from each other in terms
of their effect on the mean response.
D.The alternative hypothesis should be rejected.
c.None of the above.
2.In a multiple regression analysis,...

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